#include <bits/stdc++.h>
#pragma optimize("Ofast")
#pragma target("avx2")
using namespace std;
#define ll long long
#define ld long double
#define pb push_back
#define pf push_front
#define pii pair<int,int>
#define all(v) v.begin(),v.end()
#define F first
#define S second
#define mem(a,i) memset(a,i,sizeof(a))
#define sz(s) (int)s.size()
#define y1 yy
#define ppb pop_back
#define lb lower_bound
#define ub upper_bound
#define gcd(a,b) __gcd(a,b)
#define in insert
// #define int ll
const int MAX=1e5+15;
const int B=2e5;
const int N=104;
const int block=450;
const int maxB=MAX/B+10;
const ll inf=1e18;
const int mod=1e9+7;
const int mod1=1e9+9;
const ld eps=1e-9;
int dx[8]={1,0,-1,0,1,-1,-1,1};
int dy[8]={0,1,0,-1,1,-1,1,-1};
int binpow(int a,int n){
if(!n)return 1;
if(n%2==1)return a*binpow(a,n-1);
int k=binpow(a,n/2);
return k*k;
}
int n,q;
string s;
int dp1[(1<<21)];
int dp0[(1<<21)];
int bit(int i,int j){
return (i>>j)&1;
}
int stupid(string t){
int ans=0;
int c=0;
for(int j=0;j<n;j++)if(t[j]=='?')c++;
for(int i=0;i<(1<<c);i++){
int cur=0;
int f=0;
for(int j=0;j<n;j++){
if(t[j]!='?'){
f=f*2+(t[j]-'0');
}
else{
f=f*2+bit(i,cur++);
}
}
ans+=s[f]-'0';
}
return ans;
}
void solve(){
cin>>n>>q;
cin>>s;
for(int mask=0;mask<(1<<n);mask++)dp1[mask]=s[mask]-'0';
for(int i=0;i<=n;i++){
for(int mask=(1<<n)-1;mask>=0;mask--){
if(!((mask>>i)&1)){
dp1[mask]+=dp1[mask+(1<<i)];
}
}
}
for(int mask=0;mask<(1<<n);mask++)dp0[mask]=s[mask]-'0';
for(int i=0;i<n;i++){
for(int mask=0;mask<(1<<n);mask++){
if((mask>>i)&1){
dp0[mask]+=dp0[mask-(1<<i)];
}
}
}
while(q--){
string t;
cin>>t;
int c0=0,c1=0,c=0;
int m0=0,m1=0,m=0;
int msk=0;
for(int i=0;i<n;i++){
m0*=2;
m1*=2;
m*=2;
msk*=2;
if(t[i]=='0')c0++,m0++;
else if(t[i]=='1')c1++,m1++;
else c++,m++;
}
if(c<=min(c1,c0)){
cout<<stupid(t)<<"\n";
}
else if(c0<=c1){
int ans=0;
for(int mask=m0;;mask=((mask-1)&m0)){
int c=__builtin_popcount(mask);
if(c%2==1)ans-=dp1[mask|m1];
else ans+=dp1[mask|m1];
if(mask==0)break;
}
cout<<ans<<"\n";
}
else{
int ans=0;
for(int mask=m1;;mask=((mask-1)&m1)){
int c=__builtin_popcount(mask);
if((c1-c)%2==1)ans-=dp0[mask|m];
else ans+=dp0[mask|m];
if(mask==0)break;
}
cout<<ans<<"\n";
}
}
}
//1010
//0011
signed main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
// prec();
int t=1;
// cin>>t;
while(t--)solve();
}
Compilation message
snake_escaping.cpp:3: warning: ignoring '#pragma optimize ' [-Wunknown-pragmas]
3 | #pragma optimize("Ofast")
|
snake_escaping.cpp:4: warning: ignoring '#pragma target ' [-Wunknown-pragmas]
4 | #pragma target("avx2")
|
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
2552 KB |
Output is correct |
3 |
Correct |
2 ms |
2392 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2648 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
2552 KB |
Output is correct |
3 |
Correct |
2 ms |
2392 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2648 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
163 ms |
6380 KB |
Output is correct |
12 |
Correct |
168 ms |
6168 KB |
Output is correct |
13 |
Correct |
222 ms |
5236 KB |
Output is correct |
14 |
Correct |
326 ms |
5704 KB |
Output is correct |
15 |
Correct |
175 ms |
6484 KB |
Output is correct |
16 |
Correct |
272 ms |
5708 KB |
Output is correct |
17 |
Correct |
299 ms |
5616 KB |
Output is correct |
18 |
Correct |
143 ms |
7452 KB |
Output is correct |
19 |
Correct |
173 ms |
4436 KB |
Output is correct |
20 |
Correct |
171 ms |
6100 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
2552 KB |
Output is correct |
3 |
Correct |
2 ms |
2392 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2648 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
163 ms |
6380 KB |
Output is correct |
12 |
Correct |
168 ms |
6168 KB |
Output is correct |
13 |
Correct |
222 ms |
5236 KB |
Output is correct |
14 |
Correct |
326 ms |
5704 KB |
Output is correct |
15 |
Correct |
175 ms |
6484 KB |
Output is correct |
16 |
Correct |
272 ms |
5708 KB |
Output is correct |
17 |
Correct |
299 ms |
5616 KB |
Output is correct |
18 |
Correct |
143 ms |
7452 KB |
Output is correct |
19 |
Correct |
173 ms |
4436 KB |
Output is correct |
20 |
Correct |
171 ms |
6100 KB |
Output is correct |
21 |
Correct |
190 ms |
6488 KB |
Output is correct |
22 |
Correct |
200 ms |
6564 KB |
Output is correct |
23 |
Correct |
314 ms |
5492 KB |
Output is correct |
24 |
Correct |
577 ms |
5364 KB |
Output is correct |
25 |
Correct |
218 ms |
7456 KB |
Output is correct |
26 |
Correct |
377 ms |
5972 KB |
Output is correct |
27 |
Correct |
388 ms |
5904 KB |
Output is correct |
28 |
Correct |
142 ms |
8528 KB |
Output is correct |
29 |
Correct |
240 ms |
4732 KB |
Output is correct |
30 |
Correct |
201 ms |
6476 KB |
Output is correct |
31 |
Correct |
221 ms |
6512 KB |
Output is correct |
32 |
Correct |
253 ms |
6484 KB |
Output is correct |
33 |
Correct |
236 ms |
5456 KB |
Output is correct |
34 |
Correct |
403 ms |
5484 KB |
Output is correct |
35 |
Correct |
350 ms |
6240 KB |
Output is correct |
36 |
Correct |
159 ms |
4440 KB |
Output is correct |
37 |
Correct |
182 ms |
6496 KB |
Output is correct |
38 |
Correct |
230 ms |
4400 KB |
Output is correct |
39 |
Correct |
339 ms |
5492 KB |
Output is correct |
40 |
Correct |
588 ms |
5420 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
2552 KB |
Output is correct |
3 |
Correct |
2 ms |
2392 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2648 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
54 ms |
12036 KB |
Output is correct |
12 |
Correct |
51 ms |
12056 KB |
Output is correct |
13 |
Correct |
77 ms |
12040 KB |
Output is correct |
14 |
Correct |
70 ms |
12032 KB |
Output is correct |
15 |
Correct |
54 ms |
12308 KB |
Output is correct |
16 |
Correct |
108 ms |
12144 KB |
Output is correct |
17 |
Correct |
94 ms |
12228 KB |
Output is correct |
18 |
Correct |
46 ms |
12388 KB |
Output is correct |
19 |
Correct |
56 ms |
12092 KB |
Output is correct |
20 |
Correct |
51 ms |
12296 KB |
Output is correct |
21 |
Correct |
71 ms |
12128 KB |
Output is correct |
22 |
Correct |
72 ms |
12192 KB |
Output is correct |
23 |
Correct |
56 ms |
12064 KB |
Output is correct |
24 |
Correct |
105 ms |
12060 KB |
Output is correct |
25 |
Correct |
87 ms |
12148 KB |
Output is correct |
26 |
Correct |
48 ms |
12040 KB |
Output is correct |
27 |
Correct |
50 ms |
12276 KB |
Output is correct |
28 |
Correct |
62 ms |
12048 KB |
Output is correct |
29 |
Correct |
71 ms |
12132 KB |
Output is correct |
30 |
Correct |
126 ms |
12112 KB |
Output is correct |
31 |
Correct |
63 ms |
12116 KB |
Output is correct |
32 |
Correct |
90 ms |
12260 KB |
Output is correct |
33 |
Correct |
85 ms |
12128 KB |
Output is correct |
34 |
Correct |
75 ms |
12032 KB |
Output is correct |
35 |
Correct |
78 ms |
12036 KB |
Output is correct |
36 |
Correct |
71 ms |
12132 KB |
Output is correct |
37 |
Correct |
72 ms |
12036 KB |
Output is correct |
38 |
Correct |
72 ms |
12204 KB |
Output is correct |
39 |
Correct |
75 ms |
12092 KB |
Output is correct |
40 |
Correct |
84 ms |
12028 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
2552 KB |
Output is correct |
3 |
Correct |
2 ms |
2392 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2648 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
163 ms |
6380 KB |
Output is correct |
12 |
Correct |
168 ms |
6168 KB |
Output is correct |
13 |
Correct |
222 ms |
5236 KB |
Output is correct |
14 |
Correct |
326 ms |
5704 KB |
Output is correct |
15 |
Correct |
175 ms |
6484 KB |
Output is correct |
16 |
Correct |
272 ms |
5708 KB |
Output is correct |
17 |
Correct |
299 ms |
5616 KB |
Output is correct |
18 |
Correct |
143 ms |
7452 KB |
Output is correct |
19 |
Correct |
173 ms |
4436 KB |
Output is correct |
20 |
Correct |
171 ms |
6100 KB |
Output is correct |
21 |
Correct |
190 ms |
6488 KB |
Output is correct |
22 |
Correct |
200 ms |
6564 KB |
Output is correct |
23 |
Correct |
314 ms |
5492 KB |
Output is correct |
24 |
Correct |
577 ms |
5364 KB |
Output is correct |
25 |
Correct |
218 ms |
7456 KB |
Output is correct |
26 |
Correct |
377 ms |
5972 KB |
Output is correct |
27 |
Correct |
388 ms |
5904 KB |
Output is correct |
28 |
Correct |
142 ms |
8528 KB |
Output is correct |
29 |
Correct |
240 ms |
4732 KB |
Output is correct |
30 |
Correct |
201 ms |
6476 KB |
Output is correct |
31 |
Correct |
221 ms |
6512 KB |
Output is correct |
32 |
Correct |
253 ms |
6484 KB |
Output is correct |
33 |
Correct |
236 ms |
5456 KB |
Output is correct |
34 |
Correct |
403 ms |
5484 KB |
Output is correct |
35 |
Correct |
350 ms |
6240 KB |
Output is correct |
36 |
Correct |
159 ms |
4440 KB |
Output is correct |
37 |
Correct |
182 ms |
6496 KB |
Output is correct |
38 |
Correct |
230 ms |
4400 KB |
Output is correct |
39 |
Correct |
339 ms |
5492 KB |
Output is correct |
40 |
Correct |
588 ms |
5420 KB |
Output is correct |
41 |
Correct |
54 ms |
12036 KB |
Output is correct |
42 |
Correct |
51 ms |
12056 KB |
Output is correct |
43 |
Correct |
77 ms |
12040 KB |
Output is correct |
44 |
Correct |
70 ms |
12032 KB |
Output is correct |
45 |
Correct |
54 ms |
12308 KB |
Output is correct |
46 |
Correct |
108 ms |
12144 KB |
Output is correct |
47 |
Correct |
94 ms |
12228 KB |
Output is correct |
48 |
Correct |
46 ms |
12388 KB |
Output is correct |
49 |
Correct |
56 ms |
12092 KB |
Output is correct |
50 |
Correct |
51 ms |
12296 KB |
Output is correct |
51 |
Correct |
71 ms |
12128 KB |
Output is correct |
52 |
Correct |
72 ms |
12192 KB |
Output is correct |
53 |
Correct |
56 ms |
12064 KB |
Output is correct |
54 |
Correct |
105 ms |
12060 KB |
Output is correct |
55 |
Correct |
87 ms |
12148 KB |
Output is correct |
56 |
Correct |
48 ms |
12040 KB |
Output is correct |
57 |
Correct |
50 ms |
12276 KB |
Output is correct |
58 |
Correct |
62 ms |
12048 KB |
Output is correct |
59 |
Correct |
71 ms |
12132 KB |
Output is correct |
60 |
Correct |
126 ms |
12112 KB |
Output is correct |
61 |
Correct |
63 ms |
12116 KB |
Output is correct |
62 |
Correct |
90 ms |
12260 KB |
Output is correct |
63 |
Correct |
85 ms |
12128 KB |
Output is correct |
64 |
Correct |
75 ms |
12032 KB |
Output is correct |
65 |
Correct |
78 ms |
12036 KB |
Output is correct |
66 |
Correct |
71 ms |
12132 KB |
Output is correct |
67 |
Correct |
72 ms |
12036 KB |
Output is correct |
68 |
Correct |
72 ms |
12204 KB |
Output is correct |
69 |
Correct |
75 ms |
12092 KB |
Output is correct |
70 |
Correct |
84 ms |
12028 KB |
Output is correct |
71 |
Correct |
371 ms |
16820 KB |
Output is correct |
72 |
Correct |
311 ms |
16992 KB |
Output is correct |
73 |
Correct |
811 ms |
15588 KB |
Output is correct |
74 |
Correct |
616 ms |
28408 KB |
Output is correct |
75 |
Correct |
319 ms |
39436 KB |
Output is correct |
76 |
Correct |
904 ms |
37908 KB |
Output is correct |
77 |
Correct |
773 ms |
37724 KB |
Output is correct |
78 |
Correct |
222 ms |
41464 KB |
Output is correct |
79 |
Correct |
338 ms |
35500 KB |
Output is correct |
80 |
Correct |
307 ms |
38656 KB |
Output is correct |
81 |
Correct |
391 ms |
38644 KB |
Output is correct |
82 |
Correct |
563 ms |
37432 KB |
Output is correct |
83 |
Correct |
429 ms |
36632 KB |
Output is correct |
84 |
Correct |
1206 ms |
37612 KB |
Output is correct |
85 |
Correct |
927 ms |
37552 KB |
Output is correct |
86 |
Correct |
280 ms |
35372 KB |
Output is correct |
87 |
Correct |
291 ms |
38388 KB |
Output is correct |
88 |
Correct |
370 ms |
35644 KB |
Output is correct |
89 |
Correct |
706 ms |
37540 KB |
Output is correct |
90 |
Correct |
1740 ms |
37680 KB |
Output is correct |
91 |
Correct |
452 ms |
36828 KB |
Output is correct |
92 |
Correct |
983 ms |
37828 KB |
Output is correct |
93 |
Correct |
826 ms |
37624 KB |
Output is correct |
94 |
Correct |
254 ms |
35524 KB |
Output is correct |
95 |
Correct |
598 ms |
37620 KB |
Output is correct |
96 |
Correct |
619 ms |
37544 KB |
Output is correct |
97 |
Correct |
665 ms |
37620 KB |
Output is correct |
98 |
Correct |
673 ms |
37620 KB |
Output is correct |
99 |
Correct |
695 ms |
37436 KB |
Output is correct |
100 |
Correct |
638 ms |
37804 KB |
Output is correct |